Rate of Change in Tables

Front

What is the rate of change?

Back

The rate of change describes how a quantity changes in relation to another quantity. It is often expressed as a ratio or a slope.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

How do you calculate the rate of change from a table?

Back

To calculate the rate of change, find the difference in the y-values and divide it by the difference in the x-values for two points: Rate of Change = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What does a positive rate of change indicate?

Back

A positive rate of change indicates that as the x-value increases, the y-value also increases.

Tags

CCSS.HSF-LE.A.1B

Front

What does a negative rate of change indicate?

Back

A negative rate of change indicates that as the x-value increases, the y-value decreases.

Tags

CCSS.HSF-LE.A.1B

Front

What is a constant rate of change?

Back

A constant rate of change means that the change in y is the same for every unit change in x.

Tags

CCSS.HSF-LE.A.1B

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Tags

CCSS.8.EE.B.5

Front

If x increases by 1 and y increases by 3, what is the rate of change?

Back

The rate of change is 3.

Tags

CCSS.HSF-LE.A.1B

Front

If x increases by 4 and y decreases by 8, what is the rate of change?

Back

The rate of change is -2, calculated as (-8) / (4) = -2.

Tags

CCSS.HSF-LE.A.1B

Front

What is the formula for a linear equation representing distance traveled?

Back

The formula is y = mx, where m is the speed (rate of change) and x is the time.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the term 'y-intercept' mean?

Back

The y-intercept is the value of y when x is 0 in a linear equation, representing the starting point of the relationship.